Violet Nguyen, Temple University
This talk is the first in a series of seminar talks discussing Galois Cohomology. We will introduce profinite spaces, profinite groups, and discrete modules over profinite groups, which will be necessary in order to define their cohomology groups. We will end with the statement of Pontryagin duality, which naturally associates to each compact abelian group (and hence each profinite group) a discrete abelian group.